{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 非参数估计——Parzen窗与K近邻估计"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import copy\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "def cube(u) :\n",
    "    T = abs(u)\n",
    "    if all(t <= 0.5 for t in T) :\n",
    "        return 1\n",
    "    else :\n",
    "        return 0\n",
    "\n",
    "def gaussian_1D(u) :\n",
    "    t = 1/((math.pi * 2) ** 0.5)\n",
    "    return t * math.exp(- (u**2) / 2)\n",
    "\n",
    "def Parzen(Data, X, h, d, f) :\n",
    "    Prob = []\n",
    "    n = len(Data)\n",
    "    for x in X :\n",
    "        p = 0.0\n",
    "        for s in Data :\n",
    "            p += f((s-x)/h)\n",
    "        Prob.append(p / (n * (h**d)))\n",
    "    return np.array(Prob) \n",
    "\n",
    "def eudistance(x, y) :\n",
    "    d = 0.0\n",
    "    T = x - y \n",
    "    for t in T:\n",
    "        d += t ** 2\n",
    "    return (d ** 0.5)\n",
    "\n",
    "\n",
    "def knn(Data, X, kn, d, f) :\n",
    "    t = kn / len(Data)\n",
    "    Prob = []\n",
    "    for x in X :\n",
    "        dis = []\n",
    "        for s in Data :\n",
    "            dis.append(f(x,s))\n",
    "        dis.sort()\n",
    "        v = (dis[kn] * 2) ** d\n",
    "        Prob.append(t/v)\n",
    "    return np.array(Prob)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def test_1D_pk() :\n",
    "    Data = np.random.normal(0, 1, 10000).reshape([-1,1])\n",
    "    X = np.arange(-5, 5, 0.1).reshape([-1,1])\n",
    "    Prob1 = Parzen(Data, X, h = 0.01, d = 1, f = cube)\n",
    "\n",
    "\n",
    "\n",
    "    ax = plt.subplot(3,3,1)\n",
    "    ax.set_title(\"h = 0.01\")\n",
    "    ax.plot(X, Prob1)\n",
    "    plt.ylabel(\"Parzen: cube\")\n",
    "\n",
    "    Prob2 = Parzen(Data, X, h = 0.1, d = 1, f = cube)\n",
    "    ax = plt.subplot(3,3,2)\n",
    "    ax.set_title(\"h = 0.1\")\n",
    "    ax.plot(X, Prob2)\n",
    "\n",
    "    Prob3 = Parzen(Data, X, h = 1, d = 1, f = cube)\n",
    "    ax = plt.subplot(3,3,3)\n",
    "    ax.set_title(\"h = 1\")\n",
    "    ax.plot(X, Prob3)\n",
    "\n",
    "\n",
    "\n",
    "    Prob1 = Parzen(Data, X, h = 0.01, d = 1, f = gaussian_1D)\n",
    "    ax = plt.subplot(3,3,4)\n",
    "    ax.set_title(\"h = 0.01\")\n",
    "    ax.plot(X, Prob1)\n",
    "    plt.ylabel(\"Parzen: gaussian\")\n",
    "\n",
    "    Prob2 = Parzen(Data, X, h =0.1, d = 1, f = gaussian_1D)\n",
    "    ax = plt.subplot(3,3,5)\n",
    "    ax.set_title(\"h = 0.1\")\n",
    "    ax.plot(X, Prob2)\n",
    "\n",
    "    Prob3 = Parzen(Data, X, h = 1, d = 1, f = gaussian_1D)\n",
    "    ax = plt.subplot(3,3,6)\n",
    "    ax.set_title(\"h = 1\")\n",
    "    ax.plot(X, Prob3)\n",
    "\n",
    "\n",
    "\n",
    "    Prob1 = knn(Data, X, kn = 10, d = 1, f = eudistance)\n",
    "    ax = plt.subplot(3,3,7)\n",
    "    ax.set_title(\"kn = 10\")\n",
    "    ax.plot(X, Prob1)\n",
    "\n",
    "    plt.ylabel(\"knn\")\n",
    "\n",
    "    Prob2 = knn(Data, X, kn = 30, d = 1, f = eudistance)\n",
    "    ax = plt.subplot(3,3,8)\n",
    "    ax.set_title(\"kn = 30\")\n",
    "    ax.plot(X, Prob2)\n",
    "\n",
    "\n",
    "    Prob3 = knn(Data, X, kn = 100, d = 1, f = eudistance)\n",
    "    ax = plt.subplot(3,3,9)\n",
    "    ax.set_title(\"kn = 100\")\n",
    "    ax.plot(X, Prob3)\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def test_2D_pk() :  \n",
    "    Data = np.random.randn(1000, 2)\n",
    "    x = np.arange(-5, 5, 0.1)\n",
    "    y = np.arange(-5, 5, 0.1)\n",
    "    n = len(x) \n",
    "    X = []\n",
    "    for i in x :\n",
    "        for j in y :\n",
    "            X.append([i,j])\n",
    "    X = np.array(X)\n",
    "\n",
    "\n",
    "    Prob1 = Parzen(Data, X, h = 0.02, d = 2, f = cube)\n",
    "    ax = plt.subplot(2,3,1, projection='3d')\n",
    "    ax.set_title(\"Parzen: h = 0.02\")\n",
    "    ax.plot_trisurf(X[:,0], X[:,1], Prob1, cmap='rainbow')\n",
    "\n",
    "\n",
    "    Prob2 = Parzen(Data, X, h = 0.2, d = 2, f = cube)\n",
    "    ax = plt.subplot(2,3,2, projection='3d')\n",
    "    ax.set_title(\"Parzen: h = 0.2\")\n",
    "    ax.plot_trisurf(X[:,0], X[:,1], Prob2, cmap='rainbow')\n",
    "\n",
    "    Prob3 = Parzen(Data, X, h = 2, d = 2, f = cube)\n",
    "    ax = plt.subplot(2,3,3, projection='3d')\n",
    "    ax.set_title(\"Parzen: h = 2\")\n",
    "    ax.plot_trisurf(X[:,0], X[:,1], Prob3, cmap='rainbow')\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "    Prob1 = knn(Data, X, kn = 10, d = 2, f = eudistance)\n",
    "    ax = plt.subplot(2,3,4, projection='3d')\n",
    "    ax.set_title(\"knn: kn = 10\")\n",
    "    ax.plot_trisurf(X[:,0], X[:,1], Prob1, cmap='rainbow')\n",
    "   \n",
    "\n",
    "    Prob2 = knn(Data, X, kn = 40, d = 2, f = eudistance)\n",
    "    ax = plt.subplot(2,3,5, projection='3d')\n",
    "    ax.set_title(\"knn: kn = 40\")\n",
    "    ax.plot_trisurf(X[:,0], X[:,1], Prob2, cmap='rainbow')\n",
    "\n",
    "    Prob3 = knn(Data, X, kn = 100, d = 2, f = eudistance)\n",
    "    ax = plt.subplot(2,3,6, projection='3d')\n",
    "    ax.set_title(\"knn: kn = 100\")\n",
    "    ax.plot_trisurf(X[:,0], X[:,1], Prob3, cmap='rainbow')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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MVz38CT/51xFaA7Qw0khmf0k90WHnl/4cLsShcsuCNMoa2imtN5YC9UBPyGxWgluL04sm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\nWFhYWIzJ/wcRuY1JhKpa0AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_1D_pk()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WJGMIM7uAC8aYS8YYj1uZXbVj/boxJorH+y519sflYPfu3ezdu3dJz6IZuQZB\nwIsvvogxhv37999m5qjd+Yg/genuwOnpItabQvd3oTvilJIOxaRNyTb44ycWjeBqh1wjtMs30DaT\nhVKKy5cvUy6Xeeyxx1pqqdKMgLXWvPzyy4gIDz30EKdPnw7vi6EsCiOgxITNFx0Y2ryBV63r2AkH\nZdmMT2fYaMDDUFYhOQeENuh644TCYN/FNuQ7iWZsyFFI2549e6qp5LA0W6PWmqNHj1Iul+nt7aVU\nKqGUosgs3fSjvBuIV8bEEyAKShUCzk9DV5ISOTpIzXv9u8U3MDo6ClAbuLpYZtfPAl9Z+ijnIhaL\nLdlRWx9fXo9cLseJEycaZvfVP3s1cwHiPmK5GEtQqtJYFLDFwjGaACipKU4fO0YsFqumNXd0dFSv\n186FFto3X9tCyMYYjhw5wuDgIIVCoeX+VosRcqlU4vjx46xfv56tW7dWK8lBWKktEI0R0BVq1UIY\n7ibgdiQQ16a7L4VxQ6deOjdNIBrbL6E6HTrjSWp3uaoS9rbSqNeQl5Ch95pgobC3a9eucf369YY1\ncVvVkLPZLIVCgT179pBKpcjlcpw9e5YzZ86g1k9TRkglRun2ZlGxbkABBuUX0JZGUJT1LFiN42fb\nhaX4BlrJ7BKRnwIeAR5f+ihXDgsttFGxrQcffJBU6tbCWO8LiH4v5c7hdCRwVICY0J2jDRilwbXD\nUFUBO25z8P6D1bolly5dolgs0t3dzcDAwJL7OC6EdtdChjbakA8eDB/W+fPnl3T+fAKOOhLcd999\n1XYttccrMWgxFQ05nPyGUPPVQhjaZgtKDIggiRg9fT0EaBJ5l4lgltncDLblcG02SX9/P0F3+6Is\nomyf1eKNh8YTUCnFK6+8gjFm3lCpxTSpWkQ1sJPJJIODg/i+T29vbzXDcTR2EjftkkmP0XHvMMUr\nWWK+IMkEShcwjgGtKJiZBe/TSgJSs1iKhlwJeawtftAws0tEfgj4deBxY0zr2TlNoNV3fb6U+EuX\nLpFOpzl48OBtdWnmm+MllcHpTBIrlbBMxR9lQNmCFWh8SxDHwjcKxy+QTIY1jTdt2lSNG5+ammJi\nYqJKygMDAyuSFl9fC7kdClTbTBZRI8DlJBDUI0ooqA+ZqxWuNrpSoP5WXWOgmgodiMZYFkp0GPbm\nhORsgHhHkk4MbsomUAFWzuLSpUtcHZph02zY1DCRSCy7GH2E2i1Qu8JoVhqNXupCocDx48cbdnOp\nRTMacpS9OTMzw8GDB3nhhRduu78xhsDyGR7uoxDrRWYdpLOMyZcpK4tTZ49yKKYwKqDEzIKtvO4W\n38DBgwcB9ojIDmCUBpldIvKMbtZHAAAgAElEQVQw8AngbcaY8ZUcc23STytNBGrPiRAEQTWi6sCB\nAw0XvPpnXtWQ3RIxY1NKxLAsGzcIMLaNsQWlwLYEDfi2QP4cvb375owjihtPpVJks1mSySTXr18n\nm83S1dVVNW80W/CsFvVyXW6GaSO8pqnT86FewFprzp49S7lcbqh9zV1tJTQxCLcccwLKhAYMJQrl\n2uExlqBtO4ywQKMl/L9lwLLt6sqbtS4RvzFNoVDgpZdewrKssN7uwEBTtY7nQ20R8yAIVmVPvWhL\nunfvXnp6ehY8djFCjiZyR0cH+/fvX/C5BlKkbLJo4+NbEPS62IUSsa4Yg1t8vPEkMlVienaKk2On\nGB4YWtHWWwuhXkNuZudTWeT/F+DvCcPePl2f2QX8DmERwv+38myuGmPesZJjj+bsUgk5Wpy3bdu2\naBxz/WKo0RSdAN/YmGScWBDguRbadnD9AL/DxYggSuFbNp66QS/75r2+bdtz2jblcrlq1b8o5jmq\n+tfMLqlerqsyDnm5hOx5HsePH2dgYID77ruv4SSdS8gmJGKLOTnvfoWkIyJWGIiiLCqJINqEVd9s\nLCqpIQAoy+C6Llu3biWZTOJ5XjWdNlp5BwYGWp7wtZpIO0N02gFjDOfPn69qss1874VsjQtN5Eap\n0z4+02qUBD75riSurzGiMXaAMmlUZwzxoasrzsatW8hNTc/pzRdtY++EhtysKaoSN/7lus9qM7t+\naAWH2RDNFgSrRSSTyclJzp4929TiXO/UExEKjFN0bSTm4gDluIvr+YBF0bGxEALXwQ4MJdcGKzfv\n9etNUbVhidu2bSMIAqanp5mcnOTChQvE4/HqHJ5vR3MnfD5tT51eijMsIuTZ2VlOnjw5b4p1hFpC\nNoRkO8dkERExoY3ZODZaDNqyCBwbja5oyWHiiCvOHEI2zF3NY7HYbSvv1NRUdcL39fUxMDAwt51Q\nA0Qacjschu2E53nVamgHDhxomtDm05DT6TSnT59uaiJHUAIzZpyE9in2dGAXymgbAkejVYHAdqDT\n4OssiVQHg6letm/fThAEpNNpbty4QTabRWuNUopUKrWkbWwjaK3n+AZWQ/RMhKXUKRERcrkcly5d\nuq2E6kLn1CPjTmIScWws8HyMCOWEg2UgsMBVCoWFjgnKtQh0GV3TB7MWiy20juMwODjI4OAgEMpp\namqqWlSqp6fntp6NdyIqqq31kJdz7vT0NFevXl20AE09LECLAQm9sRG0VUmtRhG4TkjVlUw9LQZD\n6AxUYsCYaoQGhNEa8wm4duWNJnwmk+HmzZucO3eOZDJZtVvVb3FqNeR2B7KvFGZmZjh+/DjxeJxd\nu3a1NOZGTr2oDdCBAwdIJBbufxddA0CLYsqeYgjBcx28ZAzl2Oi4BbqIF7MJXDcsGlWzuDqOU+3s\nYoyptouKitdHi+lS+iJGUEpVSWm1RM80UxCsEZRSnDlzhiAIePOb37ykCo0RZjo8XDuOi6HkGGKA\n5zjEdNh+uOhaiApr0GBplBgm9U2GG0TRtKrkJJPJqg9Ea13tl3nlypWqidKyrOpzWsw3UNtP7+d+\n7uf40IfmdjoRkThhU4kDwBTwbmPMyB3rOt0sjDFMTExQLBZ54xvf2JQDba6GXPuvtsj8rTRqbAlJ\n1gpXWl1Jm45syVS05QiqhfKbtfUOjDHVlTfqZtvb28vAwEC1W8hq05CNMTz88MPVztutkFathqy1\nrpLhI4880pLN0hiDNpqiJXgSNp0sdnSEvoFEDC0Wuc4kUx1daOCKNc2Dev1t1xERXNdlcHCw2sBy\nenq6ahdPJBLVbWwr9sLare1q66nXCiHXttzyPK+ld6FR2Fve9YmLTdl1cJw4RaVwAF8cLDEEOBi7\nUo+4kll7XcYYpnFY41IVHMuy5vRsjEyUo6OjFItFstksk5OTFIvFhufX99M7ePAgv/Zrv3Z/Xdbl\nzwIZY8xuEXka+I/Au+8qQvZ9nxMnTiAibNy4selohvoHb8Sg66IsVKQ1Y9COjSGMstC2dSteuULK\nxoTXgPAaC2nIi40raje+ZcuWahr51NRUNW5ybGyMZDK5ZGeTiHwaeDswboxZXjHlJhARVzRxWyGb\niJA9z+Oll15ieHiYbdu2taxlG2NQAoEIr8YD/FgnKV9RSsQpdSQIxFCKuZQSMZTANSvHg/OYRWvl\nWruNrV9MPc+b4wRaaAGpd4qthp1PhGYJOTIz3X///fT09HDjxqK11+egnpBLlMm7oOwErjIEYtCu\ng6sCfMvFQaMQRCDQCmPZeLbFqyY/11lUwUruOCMTZWTeisfjpNNpfvd3f5e3vOUttx1f30/v6aef\n5sSJE3P66RFmYf5m5efPA38kInLXEHJtNg+EqYmtIszouWU3ro10ikhXiSZwbdAaLEE5ISELlQpw\nNXHMcEuzXgkB13eqPnLkCI7j8JnPfIYLFy7wmc98hp/6qZ9q9bJ/BvwR4fbnjmEpDlvLsqotq+69\n996q/a5VvNQxjrYMGmE6FkPihli8RDGVIJ3qxLNtjOOSTSRxLJsi8zupFjJF1S+mta2fogyxqOXY\nnGiBVbjzadZkYUzYbXpsbKxqZjLGLPu7jnRMUxIHJEYZjWUJtgkoWy7YDkoFBGKDCMp2MXY407M0\nLrG6UjVKahGZGIeHh+no6OBTn/pUw+Pq++lVYszrO/hsopKZaYwJRGQGGGi7DTmyGy70cKJqYFE2\nz/j4+JJrHmisql5c69TTUeU3MSjXBa0wIuiKg88iJOvIuRed61eqv7XDxmuMYdOmTTz99NN873vf\n4+1vf/tSrvFNCbuE3BEs1dYIMDU1xfT0NI899lhLfoHayR4IXI8XWYdQxGI26TJoPMq2zc3hPrKp\nFLYYVMxQSiRwBMpm+TUPotZPUTJSlCFW6wQaGBigr6/vdashR+UKgDkVG5fy/SINOXr+l5IFPCuJ\nshysGMSMQWsXMMRQZJ0EDoLSBmwnjKgBSgKzFOlmrkmpXYlc0Y5woeiZJrMuGw3OtF1DjsJoGhHy\nfNk8rZbfrLtqaD+u+7pabtmYdcwGbcIEEdcOoy9qiLg2kcAPy523zelmWRbFYpGurq4Fu/3ebWiF\nkKMqX5lMht7e3mVlJGZtw4zR2K6FwcYzhkAHBLbLma1b6dJlOnWAjeBZNgqhUOk+Pt/YliLXqLN1\nlCEWmaIuX75MqVSqatDNvsfPPfccTz755FnmL735VuD3gQeBp40xn2950E1gvrC3+nIFy50L9WFv\nmTjY2kXbMWyj0CbAiIOFoYiFg40nYAkoY6EQlIBvDKdkijeZuXWW2h3OWC6X5zUz1vfTu379Otye\ndXmdMDPzesVS0QOk21rtDUIBB8HtEyJqnOh5HgcOHJjz5ZZTFazWZFE7FQyhDdkYjY5XuhDYFtqx\nKnZiHcYiQzXqAsIaGFYbCRmWXQv5NUGz8apBEPDSSy+htebBBx9s+T5z0uK1ImdB3gh5XHLKpmzF\nCMSmaFmUbYdcvJN0rIPZWJwyNjlxualWnpBrETmBdu/ezcGDB+ns7CQWi/G5z32Oq1ev8ulPf3rB\n8yMnEPAkcD/wHhG5v+6wq8BPA59d1mAXQaOwt0wmw9GjR9mzZ0/LNv/5UCtXD0Uai7xJUNAWBe2Q\nMXEKOOSMS4EEOVzyxmVGXLLGpmhcSiaOry0uyu3mzXYXjRKReXf9tf30PM/j2WefBfhC3WFfAN5X\n+fkngH80xtw5DbkWURLA1q1bowaAc7BUQh4dHWU2NYOumCZrCTmKmjBGE8RdtFJhlIVtVclXSaVb\niDHV/UTYdaR9JgtoX9ZPO1CbYruYhlyf7OH7/pKSDiYmJpiamkIPdVMQIW8MrsQJBByj8MVGi4vv\nuBTFoVsssrhoscmJQ9ZSKBUm/NSjHXIVETZs2MB73/tevvSlL/HOd75zweMjJ9DFixcvVc6PSm9W\nnUDGmJHK31a+vTNzTVFRUwmg2ldvoQ4/S71fLpfj6tWrnFtn4aXi2JZBaQeMYIuhpHUYlyuGcIdv\nMEZCO7IBMJRJon0v3FfUoJ0a8mK7nvp+ej/zMz/D8ePH67MuPwX8pYhcANKEqfLtj0Oun7hTU1Oc\nOXOGBx54YN4tequEbIyhVCoxNTWF3e8CRcCgdZjay/a5xyrXQXQY9mYcJ6LqMH26ElURBZv7C2x3\nVwqrqe9ahMVMFpGca5M9lrLQlstlrly5Qnl4HenpDNeKOXKuhWUnMYHBEo8SDkYS+JbNtJ3EKEPR\ncuhSHjN0oAVmTEC/3L7FbKcmFfWLi+zO86HeCcTipTfbhkiuWutq0fqDBw+2XLFxMZRKJS5evMj2\n7dt5IUhTKtsEliHuWDgSNgnxiRMzQdjCyWhEQJkwZNWyhMDYKKNJa+uOEHKthrzY9ev66UXn1GZd\nloCfrD/vjmjISqmG3tn50MrEjUwfxhjWr1/PzeQUyGxoRLbCRAYM+EqBEzr3VNxFtMbYVjXKwoKq\nK0+LDjsTcMuG3E4spzi9iHwO+JfAoIhcB37DGNPY/buCmI+QjQm7FTdK9mgl8qA2aWP9+vV8sSPB\n3kSSsxM+nlGUtUMghg5j8MSmLBYl26VgxSlrwbFtXKWZ0gmMJaRVmX7nzhBydM1ms7laKb3ZTohI\nVUM+cuQIQ0NDK97/EGBkZIRsNsuGDRvo7+8n7c/gEUcbQfkBWhksDLZj8MTBsgSjbWzReFpwbFCB\nAcsl0AElDVfVNFsTtxS8dtuQ24U7Qsi+73Pq1KlqWc7FvlSzTr1SqcSLL77I5s2b2bp1Kzdv3uTC\nhSy8hWiHw7atO0FeRezwA6UhiNnooGIjjjuVKAupVNM1GJGqV1BJ6OBrh3Cjay6n9KYx5j0rOa5m\n0YiQtdbVEpyN5NysXKNFtru7m3379jE+Ps7zk4qbzyuKb+miuClPzNYowNGGjJWgLJqC6cQyFkVJ\nkkRRwGHS76DDMkwoi90N3vZ2+QZEpOmFtt4JxDylN+8Eotj4hx56aMlhifMhWmR932f//v2Mj4/z\nrWcvcvWxGLGETyLpYMdjYSNTAdf38LRgiR/6cawYtgVF5aC0xrIVZZXEM4bnVY6fbTMhR4lQ7Uz2\naRvdRw/DGMPZs2fp7u7mgQceaGqFaUZDnp2d5ejRo+zatYv169fTk+rnyme3Uh53qgqtCeAz/3oK\nCMOOEUI7VTwOFmjbJhDBV4ogUAQ6qBS217eceiiE5cdZ1uNOdB9oB+YLeyuXyxw5coSuri727t27\nZE2iVCrxwgsvsG7dOrZv3053dzfXvraeqQ6bCT3AtHYoaYdC4FAkbGY7a+LkVJyCiuEZC087eDj4\nOEwU4hQDh5vlxuaVdjprm5Vr5AQSkR0iEiO0J9Y7gdqO0dFRRkZG6OvrWxIZLzRHgiDg2LFjuK7L\nG97wBjo7O8m/tJEj3+wLHbT5GJlMjNkJoTQllKdtiuUYmDhKdeEHCbySkC1Y5POacgD5UhxPOSjf\n4XC+LjmsjR1D2jlf26p/T09PV1u/t+KdXYyQx8fHOXnyJHv37qW/v5/yjMUXfjnDyIs5OpLJW0kh\nFvT3hPY7o0xY6LpkMI4FSBhcHq9siTCUymW00viej1JhlxCFnreW7nJQu/3J5/OrMsoiIuTZ2VmO\nHDnCzp072b59+5InQrTI7t69m3Xr1mGUxVefKfD1l7L4cZvAhqDLwg9sCsrB1xa+tigRI2/FKaoY\nnnYoaoeysZgMkpRMnLKx+etXJ7h48SLT09NziKOdhNysbyByAhGW3jwN/HVUelNE3gEgIgcrJqmf\nBD4hIi+v5FiNMXiex0MPPbSkxXQhc1T9ImtZFt/9RIlvfTLN4R+BUs4iMElE2QQll1LOpTBjyI/b\nFCYM+QkbL58A1YGt4qDilIsxigXIZRWZWcNIUeYoCO3UkPP5fNuc8G0zWZRKJc6cOcOWLVuaKhpT\ni4UIeWRkhJs3b/Lwww8Ti8XIXIHnfiNNbtYwPDTIpDV762ABsSt2w8o7JgaU62AQjIBvLLQG17Zx\nEza+eBgLyuUSh184zMxuF9XjklxhDXk19tOLENkatdbVzh6tFoGqR21d5c7OTsqzwnMfyTB2uczf\n/U8dSFAEC2aThrFsgv6kJh4XbMsl7oCvBa3BURaFwMYRzateD77vUPBtsvFuLEtx48YNzp49S1dX\nF4ODgyil2hrO2Kxcn3rqKYwx99R+VucEeoEVbGpaDxFh586dFAqFJZXMnS8BrLZiY29vL0Zb/MN/\nyHHxO1mGB/u52TtDUBYCZVEQQ1xC2QUqTsJRBAVNYAtBIYx+smOC7ToYR7BEgxFECZN5w7PffYm9\nXWEtmSAIVqWG3DZCTiQSPProo4yOjrbsWZ+vJUxkf9q3bx+2bTP6ouarH8/g4DLQ3Q26gY0yCpKI\nZGMZtOOEERaWFWbqeYZiXlNG0L0gYpPscNi371/wXXOZdHG2WkhlcHCQgYGBlheZetyJ/lzthIgw\nNTVFLpfj0KFDy+qiUr/IzlyHL310itKUZmhgiHzXLHHfQtswG4OS55B1E2ArsqUU61Jl8oFD0vEJ\njJApxomJoaRs8r5FIZ2iUIb/Y2SAB9YN8D/sMaQIi5VHKftDQ0MMDAzMaZS5FNS+f6ttoYWVayoB\n8y2yM0xcLtHfN4BYMSZMllTZQmsLtxJ2GpVqDHwLDNh2WObAoCnnDcYyKK3RtoNyLDzR2GJxufs+\n3r41LK86NTXFzMwMw8PDDA4OrkgLJ2jNN7AUtDXsLQqe9v3G+ebzoVFLmOPHj5NKpdi9ezeWZXH2\nOZ9/+pMZOmJJulJdzOFhafBj5QcxBm1LmCRSSZ3GCuNsdCAQQG5aUczDd/9zgP9TCWLdZXp6XHbs\n2FEtqhIEAf39/QwODtLd3d2ysGsrpbVTwO1AEARcuHABrfWinT0WQqNF9sZLmuc/nkF7Dr09/aAF\nXbAISg6xAWFSxciVIBGzKRjNbCFJ3DJhzHHWIUiWSedipNyA2aKDCuxK9xjh1HnNlZcDCiL8m0dT\ndO4QEokp7rnnHqanp7l48SLFYrFqQ222k0QtVvtCu1KEPDIywvj4+JxF9ssfSVNIB/T3DWKJzbfW\nZfGVC55CB1BWNpY2BLYhboOnLRxM6OGzDX7ghoW/Kl2BtAZPCXnlUA6E58YN7x7rYN0jLuPj49x7\n770UCgWuXr1KPp+nu7u7WtlvOQrEqtSQIyxFwLXe+NpIivXr1yMiHP2zMkc+P0NPqod4PFF12KGY\nW1TIhE1Nw4tS/VC5FQ3ZtlAxJ7RjWCA2GAssx0JwufotzfSmAqYT7Bd20vHGJDveupXNmzfj+z6Z\nTIbr16+Ty+VIpVIMDg7S39/flLDr++mtFkI2xvDSSy8xNDTEzMzMksm40SJ77u99vvV/ThN3kvT0\npTAmFKmdcQgGFLPG4GmhmHcodQVo5TKbj+F4hq7egELJojuumJqOs67Lo+C7+J4glmAQxvstbiRs\nho/bPP/vZ7k4bHjjwD10/kCCnY9vYsOGDdWKfOPj41y4cIFEIlHdFTVTeL3eN7Ca0uEjBWo5TSVq\nF9mHHnoI27YZO2n46scm0UGc/r4+QNACR4bAKdh4xsJ2bmnIDuG8FdGUtYBlYwKD2BZCpYs8FtoI\nvgbXWJQ9xZhv8Q9/kAMpMLx9F+6hBLueSLHuDetQSpHNZkmn04yMjFQr+0W7olbQzryBthJyZGtc\nCiHDLfvTnj17wtqkxuIbv13g/Dez9Pb1EIslINzNhFFqDre53+xkzb0l5F7j2hVCtsO6FjVOwOhn\nSwTHtZG4IWl3MPWKzasvzvLt/8vQu9li66NJ9rx1PcP3DqO1rnYNuXLlCrZtV8s4zie4Wg15NW1t\nRYT9+/dTLpdJp9NLukbDRfYvyxz76xk6O7rD6mmAWDAhYBctlG8z6RgKBYegaKN9m0IgFMoOSQ+c\nLmEmLwz3CIV8nEK5QNl38XwLyzEERRslFighk7IodFiUB7vJXStx+M9zfPfPA3qGHTY+HOfe/26Q\nPXsGUEpRKBTIZDK8/PLLaK2rBYbm2wLXR880ykR9PSLaCZ8+fZru7u7qInvhHwK+/sfTJN0OenrC\nnawGLA3Tro0zq7EcIdAa29JY2JRNGTsWJ+lALGYR6wDlgyoayr7G9y2UCbVjv1Lf3BRctLE4vN7i\nX5WGCdKak/+lwLH/nCe1DtY9GGfPW3rZ8WAvxmjK5fKc0qpR5b5mGhOsSpNFhKVugXzfr0ZSdHZ2\n4heFv/9oluuvFBke6MGyExgFUiHQSu2g26LpVfxWo9Pw/wbt2pUTqWjIgCiMXTlODIFWeF6ZeCqB\nFVh0dfRgOkGMTzGtOPW3eV78XI7udRbr98bZ9dYedj7cg9a6Slbnz5+nXC5Xu1DUboHrJ+5q6CoR\nwbbtJctVa82RI0e455576OvrQ7D45u+UOP31Gfr6e4i7CbQKtSDLhisOiG+hy8KkLRTzoV3YU4JW\nMZTnYDwodCnKns2lG92YIIbnOfjKYTZr0dUV4OUdjFY4vkW2bEhv68E4NqnObjqTgKXwZn3OP1/k\n9JfSdHQLQ/c77PqBTrY81s2WLVvwPK/ayWa+LfBqXWiXC601J0+eZPv27axbtw4R4dhnyrzw7DSp\nrl4S8US4gRWwNWRsQ1nZxHI2gR9gJR3chKFrWJPs7mBwk6Isgmtb2JWu8FpboWlRG9A2mRHD6Dmb\nXEFwHcEpGU5t7OTHrsWxBGLxDiwJ5+OVb5Y4/48Z4gkYvjfGtkeT7Hx8C5s2bSIIAmZmZhgbG+Pc\nuXN0dnZWd7uNCgi10xR1VxLylStX8Dyv2p8rNw5f+cg06VGP4eF+LBwkTGm/RcBWzc81ioty595b\nKqnTxrbCRqgxt3L8LVbXEhbx7OsbYNydQvxKlSlAjEsi5pJIJBAMnlfm+j+XOP+NNG7SZvheix2P\ndrLtLZvZuHFjdQt88+ZNzp8/T0dHR9W7vxI2ZBF5G/AHzFMlrF1YilyjTjD79++np6cHvyg8/5s5\nrr+cp3+wB8dKMJUXrs5YPLgx7N0y7gh23kI8i7I2mFkXx9H4BQsjFsYDe8Ym67r4rlDyLUwZSkWL\nQlZQeYfACbByFoKF4wnGdzlVhHUuGAO2DcbYJJI28WQCjEFRZvy4x9XDM4gDQ7tdtj6SYMdb11W3\nwLOzs3O2wENDQySTyZYbnEbtfs6dO3eBxpXeGrb7aenhtxHRc9i5cyfr1q0DLL75O0VOf2OG/r5e\nnFgCq6IXKQCBz7uGrimbZJeif69N3+bQjGGMQjlCqSxoy8EI2JaAUQTGAmyUhrgYeoahZxhKEwFX\nXgiwC92UjMWYwEZCPhCxiMWSuPEktgE/KDF13mf0xCzf/oRhcIfN5ocT7HxiiHvuGazuiqamphgd\nHQWodo2JsNBCu9TWTZW//dpdZbKotT9t2rSJY8eOIekBzvxFH5ZvMzQwiG0sdGR6IJxQ4oIEoM0c\nU3GIuK5m7QGYSqdpU3HqqXjlEVQLmIT/sx0bjWAcDZU6/paAxEBUyH7KCMl4gng8QUrAVyUy531e\nPTHLtz9l6N9ss3lfgp1PDHLPPbe2wOl0mps3b1ZrcJTL5SURsojYwB8DP0xY/+AFEflCXauYFUfk\nsG3F1njlyhXGxsbYsWMHp0+fxi6mOP+XQ+Qnhb7+fmzLRQQKJUHnws4QYmDaCJYRLM/ClA12WpBu\nQZUclIKgbONOQDmw8fs0cRSqKGSLLl7JwS4LetbGzTlIIMQLQqwAM1023aLCHowKqPh2ETBKcK0E\ndneCHunG1x7F6x4vnc/zwl8qUhtsNv2LGPc80c+u+/rQWlMqlUin01y+fJlisciFCxdIp9OLdoKp\nbfeza9eu+2ksw4btflqV22JYij8giqTYtWsXN27c4OboFFee3cTEBc3QQC+2mwADOtR/MBa8fBOK\nWy1+4FEwqbAxrVfU4IBvWxAYxDiIVakrYxu0cbBE0AZcrdFasLWNynsExSL7DvWRfxVuHjY878F7\nXUK/UGX622HgBvFYAjeWoLsjhTYB5QmPk39X5Mjf5OgdtFm312H3W7rYvr8bvVXheR6ZTIbLly+T\nz+c5e/Ys165dY8OG29tGNWrd9I53vIP7759TuK+hLCvV/Z5+Taq9NUIjJ8/ItwK++qk0li8YFVD2\nJ+lMdpBIxlHGxQoXTExQ8cvVvk8VEjbuXJOFsQSMhbEsjG1h3FCbSU2lyA5kw0PtSmEkDbih0UsD\ntgltWZZdmcROZUEAjAbHJHCTCVJdKbQKKN30efkrRV782xxdAw4b9zrseHMXWw92kc1mGRwcZHJy\nkpGREd7//vdHZfpawSHggjFm3iph7UKzk7dRJEVXeRtf+cNJ8jPhLic9naYr0YEbj+GVOpBCGCNe\nyILkLdxBoCzojE0sBcqxMDMOZQzKCD2DQiHtknU9Yl0GKVuUijHwITHrYAUgZWHwqo2XMAgWvg3K\nC6uGvTJhsXc4LHgulZ2W0SF5+ApsiWF3xEgmutCiKeU9Lv1jntNfyRDvsdhwv8OOx5JsffPmqokq\nHo9z6tQpPvCBD3Ds2LF57ZK17X6MMd48MmzY7se0qSVJM00l4PZIioHkFr7w4Sky13ws22IyM0My\nViaZTOC6cZTAxDRc6oVHHgIboewJgbaJ2TbigWMbjBgCx2BEg1gYXYk5tsKAC0u5CIZyrkQp77Gu\no5+YsujtFja90eLi83D4GuzfBC6E87eywOuaXbWxHOIdDvF4B0YMSpUZ/V6Z89+Yxk1YrL/PYeuB\nJLt+cGNVuezv7+f4/8/em8fJVZX5/+9zl1p6qerq7nSnk85CAoSQrcMSRBYdFWEQScIeEGRQQUdU\ndBwHxxEFcRkd/To6MD/kN6N+h81vNhFk9euGIJjwM4Skk3QS0tnTW1V17cu99/z+uPdWV3d6T1fS\nnfSHV150Vd0659b53Oc5z3me5zznrbd4/PHHuemmm6irqyuMR39HNz399NN9FXK/XDrvP1VyhTyc\nMo39BXneXpPjLz/vplTtNPIAACAASURBVKIigC/oR0hJPp8jk8nR0RlBEeDzl1FepqMq3kKCBUDh\nlFMB0tOnb0VgCcePqzkloiyB9eNquD9OoY6yay3pFlI6szt2FSpL2jOuaTmKGWwLS7UvsgxQNI2y\nMg2v5UdUSox8jgN/ThFNHGC/eYBgMEggEGDjxo0A/OxnPxvN8BaOgXFwwqqE9Yf+Jtl9r1n83++H\n0YWf+voKFCnI5bOks1nSkRi5tERT/chclkiXD0KSiohKLGeg5lW8aYk/CfmkD1WX+IOge6BMU9BQ\nmIGH7oyCbPeipxX83SreDGTyCpqh4OkwwSvQu6ENyUEDuqMqW4EZAYtIVjCrWmKZoJh2sFgA0rSX\n2woKZX4fZbrPVhxGjva3skTb2zni2YPX5+GMM85g165ddHV18eyzzw6q2IZZ6a3f436AzjGkqwB3\nVTvQffeXSRHebW/QysRhSl0dqqJgGDlyqRzxRJJ0NoLi9dCm+6lt9BH0C9I5gTQVVEUidUlOByyQ\nKGiWiTRULMVyysooCMUulatKSMTTmPkcU8uqUTPgkQI9r6Ca0HQBWJXQ1QFT/LbPWlg9SViK6Vjs\nssgVqdirIo/qo7IiiGlkibTkiR6MEK7cjeqXzJs3j0Qiwfbt2/nOd77TSxlD/0c3vfHGG32HbyAu\npwOvn3Afct+dPIqi8Op/pHn7+W6CgRA+j5tqJPB4vHh0L8GKSvJmlqyRJxyJYeYl/jIvZT5fz7FN\njgUrtN5GhFQU50QRgWU7D0FK9EqPrWVx/R7StpJUiXAKDRXsfANM1VbSltJDNpbjSrFst4YlbIvL\nvfc5f+PB+64DeL0N+P1+HnzwQZ588kkeeeSR0W406c9MHRcHuWUyGTZt2sT06dMLk+yWX+Z4/b+7\nKfNWUlbhR7rBO81LQPEiyiFUa5AyUnR3JznSriGn+ijvFqgZW9hEWlCRhqhPpSql4MkYRDTQcwpW\nQKGzU0UzJHUpQeqASk6XTEGjPSLwZ1R8XZCpAV8C8KrsMcCThXhE5bAFiaTCjErD9kk5E7vti+z5\nbablcC8FHt1L/dlept/QSTJdRW1tLY899hjf+973+PznP8+SJUsGHadjOe5n+GyMDIMdYNvfJLv/\ndYvffjcMeKgOBbAsp96J4sFX4cELlCkWnaRQfGlUpZtYhw+90o8W8KLo9i5LkbflJa+bKBkNQwc1\n5+SRW9juQ1OQTiXQ8pIpFdWF50IzBJoJWhq8UqBMlegeMGK24sWw/ykSm1sDTGGnugq1J/MDaU/C\nuuqlaq6XeXcmaQt7aWxs5PXXX+czn/kMl19+OTfffPPRhPTDZT8ryYG4FHAc0t4G2wbtnqXnZlJY\npuDFr6Vo3RCnujqEpnkLj53l5Ieb2AOm6l4qdC8VZRXkzTxGxiAWS5BK2Udze1oqMGZn8G0N9epT\nCpxooGpbyGmJSGv41TJieQ3Lky/4kxXNeQicmdRy7kVx8pWl43uU2O4MKPKVuUFHe3cnMy6UeC/c\nSllZOXPmzOGll15i48aNbNq0icrKytEOsXsMjIvjUiVsKHdFf5Psnx/KsvnZbgJVQXxeb8+YYvMq\nnHFU0FAsDXx+4l4Pat7Ci4KaAsUU6DlJfU4hlzGRuqQio5BLC9S0IBWAaUmF2qgkODVFhVZGR7eC\nJjWquiWeDPgzKlYGPHkwNUEiC/WmIJuClC5QksJe6eC4phylbFi2HAulR1cDhM6Exhv3kEwlWbRo\nEc3NzTz55JP84Q9/YMqUKUOO5TArvfV73M+QjY8QQ52X2N9Kdsu6HK/9tJtyXxnlFRU2h44CVe1a\n81gqSE0hUF6B5hcYAUlc5EklMyRjUYTHg6fch8fvxdIVZFpFaBKRlghFQQgLEwUtC9FkHNUUhCqD\nKBnQpEAxQM2BlhPoJmgp0BFoHonlBzPtVE5wFK/AuTfHeEKzDSjTWQkrAvwNMO9jbbRH9rN06VLC\n4TDf+973eOKJJ/q6IAro7+imadOm9b1sIC4PADNKbiEPJLxukMf1P2Viguf/OUbn3jQ1dSFUxeNY\nIT2uAqfEsT2IzpxiWKCrOppPx+/3Y5R1EieClQSZgc5oV6HPio4yUoEYKALtiA+rMmlLmAJqxIuv\nOUDq/C5bIbs+aM22uQ3pxPYMR9nKQoVOxwp2DrLGeb/APMw4T+K7uBmfz8+cOXP43e9+x4MPPshz\nzz131LJnhNgAnCGEOA04iF0l7Oipu0Toz9d41CRrCF56IEXrX2JU14bQVK99oCzYLiELpBMHkM77\nbx32MKPSwFRBtQRWTjB1r053yFaqZYbB7KjJoSoNPatgJiXeLoFymiB4RCFtmszIayQ9HtJpKMuq\nKBlQswJVCHxRiSKc08YVSe18i/A2BSuuQl5gmfYEYZjOcydBdbN43OdRgylzofGGVhLJOAsXLmTH\njh187GMf44knnmDhwoXDGsPi437mzJnjVnrry6F73M+fKTru55jIGwT9GVH9TbKvPZzl7WcjBAIh\nfD6vLTbSsTxFjy/ecuQWU6BZQF6hTHjQPV4qfQEy0iCVyJAIdyE8GrrHg+L14/UqmKpAtRQsRRLt\njuNTFcrLK1FTAlXaTmHdAiUnUQ2BNwtaVqLnBfmMRDfAcjJbNQObP3vmRzhxAuGmz2LLbkU9nPWJ\nDo6E97F06VKi0SjXXXcd3/zmN7nssssGHLdiLqdPn85TTz3FE08cdeJWv1wKIX4FPFFyhdwXUkq2\nb99OLpcrBHmi++DFr3WRCFvUhWqRiopwrCdp2paKO18r7mA6gqHpjqWq0SPlgObVaPzhUqxKnW7n\n0dVvPw25frOtyKWBpioI3dkYokgsj+zZJILdflnUj57V7bQ6w7HkzB5ljLQVsmU5ut1JfHdLKs9c\nJim7dJvtspgzh1deeYX77ruPZ5999liVseuDuhu7SpgK/LeUckyrgA2GvgfY9p1ks3HBc/dFaduV\no35KCCG8KBJMBWeNCJpiuwDcSTeZBDUlyeu28Ko5kKqgfocCsy3KVJVQ2IfWkKPbZyDaLbyGSnlM\nwRNW0TvyVJWpNIQrOKyDL6FgxaE8I9BSgpoula6AhVEFWtL2Uh04KDj3Iots3JFQ7Ptz4wZCLUpj\ntzOwqJ4DM27aSyzRzaJFi9i9eze33347//M//zNsZQy9j/vBrvT2326lN4Y47qdU0DStl4Xc30r2\nN99Msev1ONWhELrmLcRdXPeOKu34ihT2CkgKgYaCkQXFY+FRBUoWjLyCpumUKTpmRSV5yyCby5BJ\ndJOTFh6PH83vIZ2IUeb1UeEpR03ZnSkWYIBHgpJVUExQTVsxKzmJ5oFcTiAkaBZIU9reCmnfo6UC\njjI2nEmjYgrMv6uTw12tNDU1EY/Huf766/n617/OFVdcMeS49T26acGCBdx333184xvfuHowLh3O\n/89xVciGYbB582YqKiqYP38+iqJweJPk5W9HsAxBTU0tlrRTnpz1K6rmLH/AOUerxwItZDs4ppVU\nKZTK1AwNfWcFhma5J5cSqKgkkhNQBgiwdBWhK/bfQiI1icgLpm6ZhmdPOVgQ+s95WIosWMTC6a9g\nIYsen6LqdCWFfe+N50rK37MdTdOZO3cur7/+Ovfeey/PPPNMv2kzo4GU8jnguTFpbJjou7RVVfWo\nSTa2H56/L0IiLKmrrUGgOqexAMK2MHEmL+nstkRCNq2gphSEX6JmFdS8icgI/EmNVHmeek2lIipI\nZjQqVAuRVMhYCmUJhca3PKAYTDclIqHQWCc5lFbQU5KyhKA8KpB5SWUM8lKADp6YvdT1JvN4Fexo\nPvY9WrKQmm4/ewI01baMZ6zaR3ciyqJFi9i3bx+33norP/3pT4f0GfeHouN+5rrvDee4n7FGf8eu\nHTXJxgQvfS3O4d0ZamqqUITXThN1G1GdVQ+2+04KW0azcQXTsNCCEmkokHVKyGhgmoAOVhY0RcOn\nVhLwVoIwSWfSxMNRhCrQsxaKlUfTdLvGhSlQLYkwhe1HzgpUx1rWLYnMqPgUieZsD5SiJyvKcvzK\nQrUVtAKU1cG8T3RwqHMPS5cuJZVKcf3113Pvvfdy1VVXDWsM+zu66YEHHuCBBx74FQzOpZTymyX3\nIbvoL8iz40WDP/0kglfxUVkZAOwkfSNvP/imM8O6finVGUzTsmc101kOafQYNvYFgob/OsspKiMh\no4JuYeYVtC0VGBekUHUFU1MRCvhe85E5nEdLKuSzKv7/daadB+u2afbkxYKTAqfafwgcJa07Brqj\nsBvOkVS+fweKonL66aezceNG/uEf/oGnn36axsaSVVE8rlAUhVwux9atW3tNskfekvzm2xGMjCAU\nCqEKUVhBgLNUpOdv1RFiBHg9EKqBuukmkW6VeA5ExrZ4KjtVamaCkgGRUak8opITCiILalbiTQo8\n3V7McouwyFGXTOPLhCjrFlRlBCIFeSGoVCTxjEAzJXq3Y1lhW0mqCnnDtoLdY+Rc6x0JwZkw45b9\nRLvDLF68mIMHD7Jq1SoeffRRzj333OPOQSngnhTf3NzcK10xdgCeuy9KojPHlOpqEFrPYcA4suB6\nOkSRaw8Qznl5lmUh8xJFCkwBSl5gKY61qluYQiCzEksFwxSY8Qy1ZZV4PH4yZhYjnCaR7sbr8eLV\nvPh1D4olbA6lRBjSTnPMK+iWRM1LhAlSkfZKNufEolzjzrJXtWU1sOCuLg512co4k8lwww038LnP\nfY6VK1cet7E/LhayaZq8+eabvfxPG3+aZ8PqMMHKAH6fv+BzMnL2w286qSoFK9S0/XiWYx0b2MtN\nIe3ZzrJAk6DGNNScitGl20kTCBr/MItEZTexaDfTn1zAkXlvI02BZapM+WsjlY/OJpnNk/lNBbI6\nQXd3Nz7dh8ero6oKwulPKVriWG6yuxPY60nBgIbzJaHLWgDBGWecwaZNm/jsZz/L+vXrmTVr1vEY\n8uOGzZs3M3PmzMIku/MFgz/9P1F03UtVMNBT88myx0zB4dBZNroRMst5HQxYBANZpAULl+VJtqqk\nUwAK5QmF8nieTExF0yWhVpW2mXZ03J9W0ZISNQ9qQkfRFWoafAT3CoQJStYiVJ4nkvahZAQBFfyO\nFq6ZKm1/sQq5vGNFKT1BXNfXHZoNc247QFe0kyVLlnDkyBFuuukmHnroIS64YNxkGx4zhBDs3r2b\n2traQibF4c2S33wrgplVqKuaYldcs3qUrlIUX1GFI5/SsUAFeAUYpkRkVBTDzitWdJCKhaWDaQjI\nK7bMKpA3LeLRCKHKSvx4sAyJV/qQHi/CI8hnMhjxHN2ZBLrUKPd6UTUdXVEhZ0+2wnQUtOM3ViyB\nokoMx5BCse/RNwUWfDLMoa7dNDU1kcvluPHGG7nrrru48cYx338zKEqukDs6OshkMoXtskjBb7+V\nZucrMapD1Xg8OoZ7I7Knvo/rmzVcwp3gimt0q04kVzjpZ67/qvp306neV40p3cw3hex/VmMmfFRP\nCaEf0Wm880JoSpD4m0P41kwHRaO8TMMMlWGqHrweL5lMku6YgVfT8Pq9eHxepKX1spzd1DZN9AQa\nG86VVH9wJ5Zl5y1u2bKFT33qU6xZs6aQMH4yoHi77NSpU1EUhf/vf+fZ+IswFeWV+PxltitHsV05\nUqEQF1BdC9lxCRTcGK6bAPu1J2txzlmw4fc6pu74kzs1Tl9gsne3Qiai4Csz0bIqelqgGaCaID1A\nFqwuhYoM5BWJ36PgzXvQsuARBjVT44QqNLwzvZQZPaED25orsvYc10poNsz96EG6oh0sXryY9vZ2\nbrjhBn7wgx9w8cUXnwgKSoJMJsPBgwcJhUKcdtppCCHY9bLBHx6O4lH9BIPlWFIgFSfQmXcyjgyb\nX4FtfTq2C4qzkcoUFroisDAReXu5a1p2FT6ZUdC9JqYCllSwzBypWJTq8kpbCWclqhMZlNg7N734\nUHw+hGphZk1yiTTJdIokkjLdD5oXvyZ64jk5EELaoQvTDtBLCd4aWPjJCAe6drJ06VIMw+Cmm27i\ntttu4yMf+chxH38xwmDtiC52i3XU1NRw5MgRKisrkfFytq8DX7yRXEov+BKlk16kOH4eNyHfFRLL\n8eEpErDswJDqKG23gpS7fFKEY5EpkEgmyWRS1IRCKLqGke+JmLvWtVstTgZycEkU9Zk62y0tJZZp\nkEqlyGazKKpCmc+H1+9FqHqvInGmhGlNkpqrdmEYBmeddRbbtm3jjjvu4KmnnhowVWaUEENfMiKM\niNd4PM7GjRuZNm0aBw8exO/341cDvP2kiScyCyOl45QfcNxGoDsuJmSPcpZQyOHWnF9lFVXvk9ju\nq42bvOQUgU+V+JEsWpIjYeWIxeLsSNRDVsGTFIi8tAVcgzIk9XMlXd2CcEwyY55kOhY7tuloUjJ/\nfpJ0Nk06lbOX0x4vXp8fj6bbWQHORKFYEJwNZ9xxiI6wffhnV1cX1157Ld/5zncGjbqPAieU13w+\nzyuvvEJjYyOHDh1CVVVCoWo2PZFH7ZiG7K4oGEXuSlUXdlaFm5miKHZ2irB63DwCgYlE6mApwini\nJbGkY00JaQfVVEE+n6Oju5vqQAjdr9v7ChSc/QWOUnDynBVsd4Ri2TEeTIHMWWQzCbKZHNLK49PK\nKPf68EgVA4Hm+LVNCRU1sPBTEQ6GW2hqakJKyapVq7jmmmu48847x/rEkWE1VlKF/POf/xxVVfng\nBz9IeXk5LS0ttLe3o6oqlZWV6NEGks0hOrapZLttt0TBb+vkRlkKaKbtYxKOMLspF5ZLusOTG+wT\njlJPxOPkzBzVVSFAsWdHxbZmXXeHgfN90bOkdjMAitvDAtPKk0pnyOUzYAo8Pi9lfh+aplO/RFJ7\n1W7y+Rzz58+npaWFj370ozz++OMsWrRoJMM2HJxQwX3uuefYt28fV155JTU1Nezfv589e/bg8Xjw\n+XyU56eRaK4m0qwTb+vZtupOntIRXtdiLuzFwR7/vHT26FiQTCrsOaQTjwqCNZJQ0CRYESOdTOLR\nq3n7gB8LqPZgp6wJiaccamosynWDbnT2tUoCFZIzp5mYmoJhgc+0bEtYQDafJ5fOkc1ksLDQPTp+\nTzlen0ZgpuCMOw7R3nWYpqYmotEo11xzDffff/9RwZsxwAnl9a233uLll1/mqquuYsaMGXR2dtLc\n3IzH40HXdQLqVNLb6+ls1okdtOVIOMaP61ZUnIwU6fqORY9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33uGyyy5jxYoVhTKX4XCY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\n8Vu/9Vt85StfYfv27Zd67+fLk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vaznw1ZrbtaeGG1WqmqquLEiRMLZFn+9A5+RMToKkkS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\nEIT/EQQhYm5AjwRGuK4Q1fa6RHUdPP8HfwbUrX8FTjMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_2D_pk()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
